The altitude of the plane is 32.6 m
Explanation:
The gravitational potential energy of an object is the energy possessed by the object due to its position in a gravitational field.
Near the Earth's surface, the potential energy of an object is given by:
[tex]U=mgh[/tex]
where
m is the mass of the object
g is the acceleration of gravity
h is the height of the object above the ground
For the plane in this problem, we know that:
[tex]U=960,000 J[/tex] is the potential energy
m = 3,000 kg is the mass
[tex]g=9.8 m/s^2[/tex]
Solving for h, we find the altitude of the plane:
[tex]h=\frac{U}{mg}=\frac{960,000}{(3000)(9.8)}=32.6 m[/tex]
Learn more about gravitational potential energy:
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